What is the integral of (\sqrt[4]{x^3}+(10)/(x^2)) ?

The integral of (\sqrt[4]{x^3}+(10)/(x^2)) is 4/7 x^{7/4}-(10)/x+C

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integral of (\sqrt[4]{x^3}+(10)/(x^2))

\frac{4}{7} x^{\frac{7}{4}} - \frac{10}{x} + C

Solution steps

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

\int \frac{10}{x ^{2}} d x = - \frac{10}{x}

= \frac{4}{7} x^{\frac{7}{4}} - \frac{10}{x}

Add a constant to the solution

= \frac{4}{7} x^{\frac{7}{4}} - \frac{10}{x} + C

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What is the integral of (\sqrt[4]{x^3}+(10)/(x^2)) ?
The integral of (\sqrt[4]{x^3}+(10)/(x^2)) is 4/7 x^{7/4}-(10)/x+C